pentagonal.hpp File Reference

Functions to calculate pentagonal numbers and one useless algorithm that used the Euler formula to calculate the sum of divisors. More...

#include "helper.hpp"
#include "pentagonal__inline.hpp"

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Namespaces
	sigmaodd
	A lot of functions and stuffs to deal the sigma_odd problem and related stuffs.

Functions
constexpr nat_type	sigmaodd::pentagonal (nat_type n)
	Return the pentagonal number of n. More...
constexpr nat_type	sigmaodd::pentagonal_neg (nat_type n)
	Return the generalized pentagonal number of -n. More...
nat_type	sigmaodd::sum_divisors__euler (nat_type n)
	Calculates the sum of all divisors of n with the Euler formula about pentagonal numbers and returns it. More...
bool	sigmaodd::sum_divisors__euler_cache_is_full ()
	Return true iff the cache used by sum_divisors__euler() is full. The function can clean space, but it is less efficient. More...
std::size_t	sigmaodd::sum_divisors__euler_cache_nb ()
	Return the current number of items in the cache used by sum_divisors__euler() More...
std::size_t	sigmaodd::sum_divisors__euler_table_nb ()
	Return the (constant) number of items in the table used by sum_divisors__euler() More...

Detailed Description

Functions to calculate pentagonal numbers and one useless algorithm that used the Euler formula to calculate the sum of divisors.

(December 9, 2017) http://mathworld.wolfram.com/PentagonalNumber.html

GPLv3 — Copyright (C) 2017 Olivier Pirson http://www.opimedia.be/

Definition in file pentagonal.hpp.